8138764085760 has 4320 divisors, whose sum is σ = 39663720645120. Its totient is φ = 1580182732800.

The previous prime is 8138764085743. The next prime is 8138764085783. The reversal of 8138764085760 is 675804678318.

8138764085760 is a `hidden beast` number, since 8 + 13 + 8 + 7 + 6 + 40 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 262540776945 + ... + 262540776975.

It is an arithmetic number, because the mean of its divisors is an integer number (9181416816).

Almost surely, 2^{8138764085760} is an apocalyptic number.

8138764085760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8138764085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831860322560).

8138764085760 is an abundant number, since it is smaller than the sum of its proper divisors (31524956559360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8138764085760 is an equidigital number, since it uses as much as digits as its factorization.

8138764085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 8138764085760 in words is "eight trillion, one hundred thirty-eight billion, seven hundred sixty-four million, eighty-five thousand, seven hundred sixty".